Dual Convex Cones of Order Restrictions with Applications.

Abstract

The concept of closed convex cones in finite dimensional Euclidian space and their duals has proven to be a usefull construct. Here dual cones are exhibited for specific closed, convex cones including those pertaining to starshaped orderings and concave (convex) functions. Applications include finding projections involving starshaped orderings, generalizations of Kimball's inequality, an inequality for concave (convex) functions and a characterization of certain kinds of positive dependence.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA108126

Entities

People

  • Richard L. Dykstra

Tags

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Data Science
  • Distribution Functions
  • Inequalities
  • Information Science
  • Military Research
  • Missouri
  • New York
  • Numbers
  • Order Statistics
  • Probability
  • Random Variables
  • Statistical Inference
  • Statistical Tests
  • Statistics
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Space Objects